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Finding the Fourth Proportional to 5,972.33, 8,957.28 and 3,342.47

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Solution

The fourth proportional to 5,972.33, 8,957.28 and 3,342.47 is: 5,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.33 : 8,957.28 = 3,342.47 : x
  2. Step 2: Convert to fraction form
    5,972.33/8,957.28 = 3,342.47/x
  3. Step 3: Cross multiply
    5,972.33x = 8,957.28 × 3,342.47
  4. Step 4: Simplify right side
    5,972.33x = 29,939,407.43
  5. Step 5: Solve for x
    x = 29,939,407.43/5,972.33
  6. Step 6: Final answer
    x = 5,013.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.